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kipiarov [429]
3 years ago
5

Write the equation of the line that passes throught the point (-4,-9) and has a slope of 1/2

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer: y = 1/2x - 7

<u>Data</u>

Point = (-4, -9)

slope = m = 1/2

<u>Process</u>

To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.

<u>Equation</u>

 y - y1 = m (x - x1)

       x1 = -4

       y1 = -9

<u>Substitution</u>

y + 9 = 1/2 (x + 4)

<u>Simplification</u>

 y + 9 = 1/2x + 4/2

  y = 1/2x + 2 - 9

<u>Answer</u>

y = 1/2x - 7

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Answer:

There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).

The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

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A triangle has sides with lengths of 43 millimeters, 52 millimeters, and 65 millimeters. Is it a right triangle
Mrrafil [7]
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